X and Y are independent. If we are given P(X = 0) = P(X =1) = P(X =2) = }, P(Y = 1) = 3. P(Y = 2) = }. What is the variance of Z = X +Y?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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X and Y are independent. lf we are given
P(X = 0) = P(X = 1) = P(X= 2) = 3,
P(Y = 1) = 4, P(Y = 2) = }.
What is the variance of Z = X+Y?
O 8/3
O 8/9
O None of these.
O 2/9
O 1/3
Transcribed Image Text:X and Y are independent. lf we are given P(X = 0) = P(X = 1) = P(X= 2) = 3, P(Y = 1) = 4, P(Y = 2) = }. What is the variance of Z = X+Y? O 8/3 O 8/9 O None of these. O 2/9 O 1/3
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